{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:7GVPTYQJPRERB6MD5N6JD4KIK5","short_pith_number":"pith:7GVPTYQJ","canonical_record":{"source":{"id":"1406.3178","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-06-12T10:03:30Z","cross_cats_sorted":[],"title_canon_sha256":"70fa1eb57bf451f1688fe983f99ab1ea98163c1535fc3036b7954581b31ab753","abstract_canon_sha256":"8fa49a2cdb0d10c37afd1b28a82feb186b242adb1c7e1bb442f8406cf7bee2c5"},"schema_version":"1.0"},"canonical_sha256":"f9aaf9e2097c4910f983eb7c91f14857466f5b36d09af2ae44ff893bc8097408","source":{"kind":"arxiv","id":"1406.3178","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3178","created_at":"2026-05-18T02:42:47Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3178v3","created_at":"2026-05-18T02:42:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3178","created_at":"2026-05-18T02:42:47Z"},{"alias_kind":"pith_short_12","alias_value":"7GVPTYQJPRER","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"7GVPTYQJPRERB6MD","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"7GVPTYQJ","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:7GVPTYQJPRERB6MD5N6JD4KIK5","target":"record","payload":{"canonical_record":{"source":{"id":"1406.3178","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-06-12T10:03:30Z","cross_cats_sorted":[],"title_canon_sha256":"70fa1eb57bf451f1688fe983f99ab1ea98163c1535fc3036b7954581b31ab753","abstract_canon_sha256":"8fa49a2cdb0d10c37afd1b28a82feb186b242adb1c7e1bb442f8406cf7bee2c5"},"schema_version":"1.0"},"canonical_sha256":"f9aaf9e2097c4910f983eb7c91f14857466f5b36d09af2ae44ff893bc8097408","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:47.548735Z","signature_b64":"TqBJyihzerrGHQ21GkYdGE+wigsx0AASE3fgRu3I8GopZMZZQ7kscJ2Cd9mwK6hJZIl4Y6CfXvEIEMvQKes2Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9aaf9e2097c4910f983eb7c91f14857466f5b36d09af2ae44ff893bc8097408","last_reissued_at":"2026-05-18T02:42:47.548248Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:47.548248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.3178","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wnL3lXM2V15LjR0k5tmydeaGmBM9BpOAbM/yiw1oZgD3/dneT9jReGJu/1ojP+pjddr1EWKu+1/xkgleo3DdAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:24:48.464748Z"},"content_sha256":"c9be91a5722e921f28342db9cbd71f57f322ee0c146f184b951d133f3c6457c0","schema_version":"1.0","event_id":"sha256:c9be91a5722e921f28342db9cbd71f57f322ee0c146f184b951d133f3c6457c0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:7GVPTYQJPRERB6MD5N6JD4KIK5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fermionic two-loop functional renormalization group for correlated fermions: Method and application to the attractive Hubbard model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Andreas Eberlein","submitted_at":"2014-06-12T10:03:30Z","abstract_excerpt":"We derive an efficient method for treating renormalization contributions at two-loop level within the functional renormalization group in the one-particle irreducible formalism for fermions. It is based on a decomposition of the two-particle vertex in charge, magnetic and pairing channels. The method treats single-particle and collective excitations in all channels on equal footing, allows for the description of symmetry-breaking and captures collective mode fluctuation physics in the infrared. As a first application, we study the superfluid ground state of the two-dimensional attractive Hubba"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3178","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4iZ9/i2Cco8yfPrc7jzdnW7OKbe3Yieu4MrS+OUyC/TjLWR404HSfiYYYz9sgRuLQIUk65YhNg63K7jjqS+IAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:24:48.465365Z"},"content_sha256":"54f6e3b12e0a9a5f9ddf9466ed9f2951f9b464fb55db9a971832b9cdc8eaa091","schema_version":"1.0","event_id":"sha256:54f6e3b12e0a9a5f9ddf9466ed9f2951f9b464fb55db9a971832b9cdc8eaa091"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7GVPTYQJPRERB6MD5N6JD4KIK5/bundle.json","state_url":"https://pith.science/pith/7GVPTYQJPRERB6MD5N6JD4KIK5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7GVPTYQJPRERB6MD5N6JD4KIK5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T17:24:48Z","links":{"resolver":"https://pith.science/pith/7GVPTYQJPRERB6MD5N6JD4KIK5","bundle":"https://pith.science/pith/7GVPTYQJPRERB6MD5N6JD4KIK5/bundle.json","state":"https://pith.science/pith/7GVPTYQJPRERB6MD5N6JD4KIK5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7GVPTYQJPRERB6MD5N6JD4KIK5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7GVPTYQJPRERB6MD5N6JD4KIK5","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8fa49a2cdb0d10c37afd1b28a82feb186b242adb1c7e1bb442f8406cf7bee2c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-06-12T10:03:30Z","title_canon_sha256":"70fa1eb57bf451f1688fe983f99ab1ea98163c1535fc3036b7954581b31ab753"},"schema_version":"1.0","source":{"id":"1406.3178","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3178","created_at":"2026-05-18T02:42:47Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3178v3","created_at":"2026-05-18T02:42:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3178","created_at":"2026-05-18T02:42:47Z"},{"alias_kind":"pith_short_12","alias_value":"7GVPTYQJPRER","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"7GVPTYQJPRERB6MD","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"7GVPTYQJ","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:54f6e3b12e0a9a5f9ddf9466ed9f2951f9b464fb55db9a971832b9cdc8eaa091","target":"graph","created_at":"2026-05-18T02:42:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We derive an efficient method for treating renormalization contributions at two-loop level within the functional renormalization group in the one-particle irreducible formalism for fermions. It is based on a decomposition of the two-particle vertex in charge, magnetic and pairing channels. The method treats single-particle and collective excitations in all channels on equal footing, allows for the description of symmetry-breaking and captures collective mode fluctuation physics in the infrared. As a first application, we study the superfluid ground state of the two-dimensional attractive Hubba","authors_text":"Andreas Eberlein","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-06-12T10:03:30Z","title":"Fermionic two-loop functional renormalization group for correlated fermions: Method and application to the attractive Hubbard model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3178","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c9be91a5722e921f28342db9cbd71f57f322ee0c146f184b951d133f3c6457c0","target":"record","created_at":"2026-05-18T02:42:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8fa49a2cdb0d10c37afd1b28a82feb186b242adb1c7e1bb442f8406cf7bee2c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-06-12T10:03:30Z","title_canon_sha256":"70fa1eb57bf451f1688fe983f99ab1ea98163c1535fc3036b7954581b31ab753"},"schema_version":"1.0","source":{"id":"1406.3178","kind":"arxiv","version":3}},"canonical_sha256":"f9aaf9e2097c4910f983eb7c91f14857466f5b36d09af2ae44ff893bc8097408","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9aaf9e2097c4910f983eb7c91f14857466f5b36d09af2ae44ff893bc8097408","first_computed_at":"2026-05-18T02:42:47.548248Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:47.548248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TqBJyihzerrGHQ21GkYdGE+wigsx0AASE3fgRu3I8GopZMZZQ7kscJ2Cd9mwK6hJZIl4Y6CfXvEIEMvQKes2Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:47.548735Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.3178","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9be91a5722e921f28342db9cbd71f57f322ee0c146f184b951d133f3c6457c0","sha256:54f6e3b12e0a9a5f9ddf9466ed9f2951f9b464fb55db9a971832b9cdc8eaa091"],"state_sha256":"43e3bac03ded30888faf8403e4cde329c559e1ee69f0a834547419810774ec6b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mpCYwTfpEaoy/j/HhNh5kjfhlsFdfP6P1M1SOXOrjsZbQojcl8qZBYf06qkT5QDJnpDfSTvJZOmcvwNODdLiAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T17:24:48.469360Z","bundle_sha256":"f55c0c0baeffb435a8c1aa88d2620ce19fed7317e86c02e7cd7ec9ae7660f803"}}